Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640y |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1225728 |
Modular degree for the optimal curve |
Δ |
-1141034568826890240 = -1 · 211 · 38 · 5 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 3 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-317800,-86108140] |
[a1,a2,a3,a4,a6] |
Generators |
[668:354:1] |
Generators of the group modulo torsion |
j |
-102053522/32805 |
j-invariant |
L |
8.331532585343 |
L(r)(E,1)/r! |
Ω |
0.09891764415943 |
Real period |
R |
5.2641850854397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906482 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43320f1 86640o1 |
Quadratic twists by: -4 -19 |